{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "width = 6\n",
    "height = 3\n",
    "import matplotlib\n",
    "matplotlib.rcParams['figure.figsize'] = [width, height]\n",
    "\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import hmmlearn\n",
    "\n",
    "from hmmlearn.hmm import GaussianHMM"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "nile = pd.read_csv(\"Nile.csv\", index_col = 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>year</th>\n",
       "      <th>val</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1871</td>\n",
       "      <td>1120</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1872</td>\n",
       "      <td>1160</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1873</td>\n",
       "      <td>963</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1874</td>\n",
       "      <td>1210</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1875</td>\n",
       "      <td>1160</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   year   val\n",
       "1  1871  1120\n",
       "2  1872  1160\n",
       "3  1873   963\n",
       "4  1874  1210\n",
       "5  1875  1160"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nile.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f7339fca400>]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(nile.year, nile.val)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "def fitHMM(vals, n_states):\n",
    "    vals = np.reshape(vals,[len(vals),1])\n",
    "    \n",
    "    # fit Gaussian HMM to Q\n",
    "    model = GaussianHMM(n_components=n_states, n_iter=100).fit(vals)\n",
    "     \n",
    "    # classify each observation as state 0 or 1\n",
    "    hidden_states = model.predict(vals)\n",
    " \n",
    "    # fit HMM parameters\n",
    "    mus = np.squeeze(model.means_)\n",
    "    sigmas = np.squeeze(np.sqrt(model.covars_))\n",
    "    transmat = np.array(model.transmat_)\n",
    "    print(mus)\n",
    "    print(sigmas)\n",
    "    # re-order parameters in ascending order of mean of underlying distribution\n",
    "    idx      = np.argsort(mus)\n",
    "    mus      = mus[idx]\n",
    "    sigmas   = sigmas[idx]\n",
    "    transmat = transmat[idx, :][:, idx]\n",
    "    \n",
    "    state_dict = {}\n",
    "    states = [i for i in range(n_states)]\n",
    "    for i in idx:\n",
    "        state_dict[i] = states[idx[i]]\n",
    "    \n",
    "    relabeled_states = [state_dict[h] for h in hidden_states]\n",
    "    return (relabeled_states, mus, sigmas, transmat, model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 796.06732375 1097.27216026  884.87213564]\n",
      "[ 67.19550566 133.0357056  138.81884828]\n"
     ]
    }
   ],
   "source": [
    "hidden_states, mus, sigmas, transmat, model = fitHMM(nile.val.values, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_states(ts_vals, states, time_vals):\n",
    "    fig, ax1 = plt.subplots()\n",
    "\n",
    "    color = 'tab:red'\n",
    "    ax1.set_xlabel('Year)')\n",
    "    ax1.set_ylabel('Nile river flow',         color=color)\n",
    "    ax1.plot(time_vals, ts_vals,      color=color)\n",
    "    ax1.tick_params(axis='y',            labelcolor=color)\n",
    "\n",
    "    ax2 = ax1.twinx()  \n",
    "    color = 'tab:blue'\n",
    "    ax2.set_ylabel('Hidden state', color=color)  \n",
    "    ax2.plot(time_vals,states,     color=color)\n",
    "    ax2.tick_params(axis='y', labelcolor=color)\n",
    "\n",
    "    fig.tight_layout()  \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_states(nile.val, hidden_states, nile.year)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise: how can we modify the above analysis to make it more meaningful?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([], dtype=int64),)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.where(hidden_states == 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 796.06732375 1097.27216026  884.87213564]\n",
      "[ 67.19550566 133.0357056  138.81884828]\n"
     ]
    }
   ],
   "source": [
    "hidden_states, mus, sigmas, transmat, model = fitHMM(nile.val.values, 3)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_states(nile.val, hidden_states, nile.year)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 796.06732375,  884.87213564, 1097.27216026])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mus"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.set_printoptions(precision = 3, suppress = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.508, 0.492, 0.   ],\n",
       "       [0.305, 0.695, 0.   ],\n",
       "       [0.036, 0.   , 0.964]])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "transmat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 796.067,  884.872, 1097.272])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mus"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise: generate new synthetic data from the model and then fit it with a fresh HMM model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "res = np.squeeze(model.sample(1000)[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[799.161 833.158 951.636]\n",
      "[ 64.842 161.856 118.288]\n"
     ]
    }
   ],
   "source": [
    "hidden_states, mus, sigmas, transmat, model = fitHMM(res, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1000,)"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "res.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1000"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(hidden_states)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_states_no_time(ts_vals, states):\n",
    "    fig, ax1 = plt.subplots()\n",
    "\n",
    "    color = 'tab:red'\n",
    "    ax1.set_xlabel('Time)')\n",
    "    ax1.set_ylabel('Value',        color=color)\n",
    "    ax1.plot(ts_vals,              color=color)\n",
    "    ax1.tick_params(axis='y', labelcolor=color)\n",
    "\n",
    "    ax2 = ax1.twinx()  \n",
    "    color = 'tab:blue'\n",
    "    ax2.set_ylabel('Hidden state', color=color)  \n",
    "    ax2.plot(states,        color=color)\n",
    "    ax2.tick_params(axis='y', labelcolor=color)\n",
    "\n",
    "    fig.tight_layout()  \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_states_no_time(res[1:100], hidden_states[1:100])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f73364179b0>]"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f73363f0898>]"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(hidden_states)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.493, 0.352, 0.155],\n",
       "       [0.488, 0.101, 0.411],\n",
       "       [0.347, 0.203, 0.45 ]])"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "transmat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[951.375 799.138 832.696]\n",
      "[118.459  64.824 161.803]\n"
     ]
    }
   ],
   "source": [
    "hidden_states, mus, sigmas, transmat, model = fitHMM(res, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_states_no_time(res[:100], hidden_states[:100])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.493, 0.351, 0.156],\n",
       "       [0.488, 0.099, 0.413],\n",
       "       [0.347, 0.203, 0.45 ]])"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "transmat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
